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Finding the Fourth Proportional to 204,580.80, 306,352.80 and 163,108.80

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Solution

The fourth proportional to 204,580.80, 306,352.80 and 163,108.80 is: 244,249.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,580.80 : 306,352.80 = 163,108.80 : x
  2. Step 2: Convert to fraction form
    204,580.80/306,352.80 = 163,108.80/x
  3. Step 3: Cross multiply
    204,580.80x = 306,352.80 × 163,108.80
  4. Step 4: Simplify right side
    204,580.80x = 49,968,837,584.64
  5. Step 5: Solve for x
    x = 49,968,837,584.64/204,580.80
  6. Step 6: Final answer
    x = 244,249.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.